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Yr 10 gen maths review (trig, linear functions,pythatoras,co-ord

Total questions: 64

Worksheet time: 3hrs 35mins

Name
Class
Date
1.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
2.
Which trig ratio uses the adjacent side and the opposite side?
a)
sine
b)
cosine
c)
tangent
3.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
4.

Find the perimeter of the shape

a)

19.8

b)

33.13

c)

20.57

d)

28.3

5.

find the surface area of the shape

a)

185.3

b)

769.69

c)

115.45

d)

192.42

6.

Find the surface area

a)

576cm2

b)

482cm2

c)

862cm2

7.

Find the volume

a)

18.5cm3

b)

20.94cm2

c)

32cm2

d)

20.94cm3

8.

find the area

a)

70.36

b)

45.2m2

c)

84m2

d)

70.36m2

9.

solve for y

a)

8cm

b)

6cm

c)

37cm

d)

5.4cm

10.

solve for x

a)

17/2

b)

10

c)

15/2

d)

8.5

11.

solve for x

a)

2

b)

4

c)

20

d)

3

12.

solve for x

a)

1

b)

14

c)

2

d)

17

13.

Will the couch fit?

a)

Yes

b)

no

14.

find the angle

a)

38

b)

32.2

c)

57.79

15.
a)

41.41cm2

b)

20.7 cm2

c)

20.7

d)

6.9cm

16.
a)

42

b)

34

c)

32.86

d)

30

17.
a)

5.64cm

b)

11.3cm

c)

13.4cm

18.

Find the volume of the shape

a)

51.3cm3

b)

718.4cm3

c)

25.3cm3

d)

25.7cm3

19.
a)

100ml

b)

300ml

c)

600ml

d)

50ml

20.
a)

3

b)

7

c)

8

d)

16

21.

answer in m3

a)

0.4m3

b)

0.3m3

c)

0.8m3

22.
a)

54o

b)

45o

c)

29o

23.
a)

450m

b)

325.4m

c)

478.3m

24.
a)

16cm

b)

18cm

c)

12cm

25.
a)

5m

b)

6.4m

c)

3m

26.
a)

1.853m

b)

1.431m

c)

2.862m

27.
a)

8m

b)

5.225m

c)

6.025m

28.
a)

(2,1.5)

b)

(2,3)

c)

(3,2)

29.
a)

y=7x-2

b)

y=-2x+7

c)

x+7=2-y

30.
a)

-2/5

b)

-5/2

c)

5/2

31.
a)

1/3

b)

-3/4

c)

3/4

32.
a)

y=(2/3)x+5

b)

y=2x+5

c)

2x+3y=10

d)

3x+2y=10

33.
a)

2.8

b)

7.84

c)

5.6

34.

convert units

a)

12,400mm3

b)

124,000 mm3

c)

1240mm3

35.
a)

4740

b)

47400

c)

474,000

36.
a)

yes

b)

no

37.
a)

8.75cm

b)

9.95cm

c)

13.5cm

38.
a)

6cm

b)

12.8cm

c)

35.35cm

39.

Give answer in litres

a)

53760cm3

b)

53.76L

c)

537.6L

d)

5.376L

40.
a)

7/11

b)

11/7

c)

1/3

41.

what is the length of the line between the pts (4,5) and (2,2)

a)

25

b)

5

c)

8

d)

3

42.

what is the midpoint of the line between (4,2) and (6,6) ?

a)

(5,4)

b)

(4,5)

c)

(2,4)

43.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
44.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7) 
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
45.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

46.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
47.
Find the distance between (1,2) (-1,-2)
a)
4.5
b)
4.4
c)
5
d)
20
48.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
49.
Find the Gradient of the linear equation
 y= 12x-4
a)
4
b)
-12
c)
12
d)
-4
50.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
51.
The gradient of horizontal line is .........
a)
Always zero
b)
undefined
c)
Always positive 
d)
Always negative
52.
What is the gradient of the line that passes through the points (1, 3) and (2, 9)?
a)
m = 6
b)
m = 1/6
c)
m = -6
d)
m = -1/6
53.
What is the gradient of the line that passes through the points (0, 0) and (5, 2)?
a)
m = 2/5
b)
m = 5/2
c)
m = -2/5
d)
m = -5/2
54.
What is the gradient of the line that passes through the points (7, 7) and (5, 6)?
a)
m = 1/2
b)
m = 2
c)
m = -2
d)
m = -1/2
55.
gradients of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
56.
Which line has a negative gradient?
a)
Yellow
b)
Red
c)
Blue
d)
Green
57.
What does 'c' represent in y=mx+c
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
58.
A line is perpendicular to    y = 2x - 7.
What is the gradient of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
59.
gradients of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
60.
what is the equation of the line shown:
a)
y = -3x + 2
b)
y = -1/3 x + 2
c)
y = 3x + 2
d)
y = 1/3 x + 2
61.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
62.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
63.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
64.
15) Graph the line given: x-intercept= -4 & y-intercept = 4
a)
a
b)
b
c)
c
d)
d

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